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MORREY SPACES WITH NON-DOUBLING MEASURES II | Sawano | Journal of the Indonesian Mathematical Society 56 210 1 PB

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J. Indones. Math. Soc. (MIHMI)

Vol. 14, No. 2 (2008), pp. 121–152.

MORREY SPACES

WITH NON-DOUBLING MEASURES II

Yoshihiro Sawano

Abstract.The aim of this article is a survey of the research of Morrey spaces with non-doubling measures. This article is based on the lecture delivered in Institute Technology

Bandung. The first half of this survey contains key results with proofs, which was written

is a self-contained manner except Section 6. The second half, Parts 2 and 3, is devoted

to formulating key results without proofs.

Received 10-10-2007, Accepted 18-09-2008.

2000 Mathematics Subject Classification: 42B25, 42B35

Key words and Phrases: Morrey spaces, non-doubling

Yoshihiro Sawano: Department of Mathematics, Gakushuin University 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan.

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